Power Economic Dispatch Problems Considering Prohibited Operating Zones and Spinning Reserve: A Hybrid Differential Evolution

Abstract

This paper proposes a hybrid differential evolution (HDE) for power economic dispatch (PED) considering units with prohibited operating zones (POZ) and spinning reserve. The HDE equipped with an accelerated operation and a migration operation can efficiently search and actively explore solutions. The multiplier updating (MU) is introduced to handle the equality and inequality constraints of the system. To show the advantages of the proposed algorithm, one example is investigated, and the computational results of the proposed method are compared with that of the previous methods. The proposed approach integrates the HDE and the MU, revealing that the proposed approach has the following merits - ease of implementation; applicability to non-convex fuel cost functions; better effectiveness than previous methods; better efficiency than differential evolution with the MU (DE-MU), and the requirement for only a small population in applying the optimal PED problem of generators with POZ and spinning reserve.